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<div class="header">
  <div class="headertitle"><div class="title">SVDClass.hpp</div></div>
</div><!--header-->
<div class="contents">
<a href="_s_v_d_class_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="preprocessor">#pragma once</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="preprocessor">#include &lt;limits&gt;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#include &quot;<a class="code" href="_error_8hpp.html">NumCpp/Core/Internal/Error.hpp</a>&quot;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#include &quot;<a class="code" href="_types_8hpp.html">NumCpp/Core/Types.hpp</a>&quot;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="preprocessor">#include &quot;<a class="code" href="essentially_equal_8hpp.html">NumCpp/Utils/essentiallyEqual.hpp</a>&quot;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacenc_1_1linalg.html">nc::linalg</a></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>{</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>    <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>    <span class="comment">// Class Description:</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html">   46</a></span><span class="comment"></span>    <span class="keyword">class </span><a class="code hl_class" href="classnc_1_1linalg_1_1_s_v_d.html">SVD</a></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>    {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    <span class="keyword">public</span>:</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#ae0561bbc9633e436139258b0c70b98ba">   55</a></span><span class="comment"></span>        <span class="keyword">explicit</span> <a class="code hl_function" href="classnc_1_1linalg_1_1_s_v_d.html#ae0561bbc9633e436139258b0c70b98ba">SVD</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; inMatrix) :</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>            m_(inMatrix.<a class="code hl_function" href="namespacenc.html#ae2b224742bc8263190d451a44ebe5e34">shape</a>().rows),</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>            n_(inMatrix.<a class="code hl_function" href="namespacenc.html#ae2b224742bc8263190d451a44ebe5e34">shape</a>().cols),</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>            u_(inMatrix),</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>            v_(n_, n_),</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>            s_(1, n_),</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>            eps_(std::numeric_limits&lt;double&gt;::epsilon())</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>        {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>            decompose();</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>            reorder();</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>            tsh_ = 0.5 * <a class="code hl_function" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(m_ + n_ + 1.) * s_.<a class="code hl_function" href="classnc_1_1_nd_array.html#a7c17d60541d81f71107c5dc0a06885ac">front</a>() * eps_;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>        }</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#af28a679bf8a8ef8af95184a26a6fbb4e">   74</a></span><span class="comment"></span>        <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1linalg_1_1_s_v_d.html#af28a679bf8a8ef8af95184a26a6fbb4e">u</a>() noexcept</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>        {</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>            <span class="keywordflow">return</span> u_;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>        }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span> </div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#ab0ff491e89a4242d15854683d0a45650">   85</a></span><span class="comment"></span>        <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1linalg_1_1_s_v_d.html#ab0ff491e89a4242d15854683d0a45650">v</a>() noexcept</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>        {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>            <span class="keywordflow">return</span> v_;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>        }</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span> </div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#aa3628ab32a1117f00645ce377c4b8654">   96</a></span><span class="comment"></span>        <span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; <a class="code hl_function" href="classnc_1_1linalg_1_1_s_v_d.html#aa3628ab32a1117f00645ce377c4b8654">s</a>() noexcept</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>        {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>            <span class="keywordflow">return</span> s_;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>        }</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#a5f8126b97109ff2929842d861522de19">  110</a></span><span class="comment"></span>        <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> <a class="code hl_function" href="classnc_1_1linalg_1_1_s_v_d.html#a5f8126b97109ff2929842d861522de19">solve</a>(<span class="keyword">const</span> <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; inInput, <span class="keywordtype">double</span> inThresh = -1.)</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>        {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>            <span class="keywordtype">double</span> ss{};</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>            <span class="keywordflow">if</span> (inInput.<a class="code hl_function" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>() != m_)</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>            {</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>                <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;bad sizes.&quot;</span>);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>            }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray(1, n_);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span> </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>            <a class="code hl_class" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> tmp(1, n_);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>            tsh_ = (inThresh &gt;= 0. ? inThresh : 0.5 * <a class="code hl_function" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">sqrt</a>(m_ + n_ + 1.) * s_.<a class="code hl_function" href="classnc_1_1_nd_array.html#a7c17d60541d81f71107c5dc0a06885ac">front</a>() * eps_);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>++)</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>            {</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>                ss = 0.;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>                <span class="keywordflow">if</span> (s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] &gt; tsh_)</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>                {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>                    <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i = 0; i &lt; m_; i++)</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>                    {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>                        ss += u_(i, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) * inInput[i];</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>                    }</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>                    ss /= s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>];</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>                }</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>                tmp[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] = ss;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>            }</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>            <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>++)</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>            {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>                ss = 0.;</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>                <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> jj = 0; jj &lt; n_; jj++)</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>                {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>                    ss += v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, jj) * tmp[jj];</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>                }</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span> </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>                returnArray[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] = ss;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>            }</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>            <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>        }</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>    <span class="keyword">private</span>:</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span><span class="comment"></span>        <span class="keyword">static</span> <span class="keywordtype">double</span> SIGN(<span class="keywordtype">double</span> inA, <span class="keywordtype">double</span> inB) <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>        {</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>            <span class="keywordflow">return</span> inB &gt;= 0 ? (inA &gt;= 0 ? inA : -inA) : (inA &gt;= 0 ? -inA : inA);</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>        }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span><span class="comment"></span>        <span class="keywordtype">void</span> decompose()</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>        {</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>            <span class="keywordtype">bool</span>   flag{};</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i{};</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> its{};</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>{};</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> jj{};</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> k{};</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> l{};</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> nm{};</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span> </div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>            <span class="keywordtype">double</span> anorm{};</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>            <span class="keywordtype">double</span> <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>{};</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>            <span class="keywordtype">double</span> <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>{};</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>            <span class="keywordtype">double</span> g{};</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>            <span class="keywordtype">double</span> h{};</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>            <span class="keywordtype">double</span> ss{};</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>            <span class="keywordtype">double</span> scale{};</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>            <span class="keywordtype">double</span> x{};</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>            <span class="keywordtype">double</span> y{};</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>            <span class="keywordtype">double</span> z{};</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span> </div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>            NdArray&lt;double&gt; rv1(n_, 1);</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>            <span class="keywordflow">for</span> (i = 0; i &lt; n_; ++i)</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>            {</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>                l      = i + 2;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>                rv1[i] = scale * g;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>                g = ss = scale = 0.;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>                <span class="keywordflow">if</span> (i &lt; m_)</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>                {</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>                    <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>                    {</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>                        scale += <a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(u_(k, i));</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>                    }</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>                    <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(scale, 0.))</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>                    {</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>                        <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>                        {</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>                            u_(k, i) /= scale;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>                            ss += u_(k, i) * u_(k, i);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>                        }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span> </div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>                        <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>        = u_(i, i);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>                        g        = -SIGN(<a class="code hl_function" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(ss), <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>                        h        = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> * g - ss;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>                        u_(i, i) = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> - g;</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span> </div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>                        <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l - 1; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>                        {</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>                            <span class="keywordflow">for</span> (ss = 0., k = i; k &lt; m_; ++k)</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>                            {</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>                                ss += u_(k, i) * u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>);</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>                            }</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>                            <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> = ss / h;</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span> </div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>                            <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>                            {</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>                                u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) += <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> * u_(k, i);</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>                            }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>                        }</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>                        <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>                        {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>                            u_(k, i) *= scale;</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>                        }</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>                    }</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>                }</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span> </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>                s_[i] = scale * g;</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>                g = ss = scale = 0.;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span> </div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>                <span class="keywordflow">if</span> (i + 1 &lt;= m_ &amp;&amp; i + 1 != n_)</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>                {</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>                    <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>                    {</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>                        scale += <a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(u_(i, k));</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>                    }</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span> </div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>                    <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(scale, 0.))</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>                    {</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>                        <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>                        {</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>                            u_(i, k) /= scale;</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>                            ss += u_(i, k) * u_(i, k);</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>                        }</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>                        <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>            = u_(i, l - 1);</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>                        g            = -SIGN(<a class="code hl_function" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(ss), <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>);</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>                        h            = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> * g - ss;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>                        u_(i, l - 1) = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> - g;</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span> </div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>                        <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>                        {</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>                            rv1[k] = u_(i, k) / h;</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>                        }</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span> </div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>                        <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l - 1; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; m_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>                        {</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>                            <span class="keywordflow">for</span> (ss = 0., k = l - 1; k &lt; n_; ++k)</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>                            {</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>                                ss += u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k) * u_(i, k);</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>                            }</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span> </div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>                            <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>                            {</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>                                u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k) += ss * rv1[k];</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span>                            }</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>                        }</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span> </div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>                        <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>                        {</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>                            u_(i, k) *= scale;</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span>                        }</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>                    }</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>                }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span> </div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>                anorm = <a class="code hl_function" href="namespacenc.html#af37a6766f3bd9a7f83d32834d2a699b1">std::max</a>(anorm, (<a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(s_[i]) + <a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(rv1[i])));</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>            }</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span> </div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span>            <span class="keywordflow">for</span> (i = n_ - 1; i != <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(-1); --i)</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span>            {</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>                <span class="keywordflow">if</span> (i &lt; n_ - 1)</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>                {</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>                    <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(g, 0.))</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span>                    {</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>                        <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span>                        {</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>                            v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, i) = (u_(i, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) / u_(i, l)) / g;</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>                        }</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>                        <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>                        {</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>                            <span class="keywordflow">for</span> (ss = 0., k = l; k &lt; n_; ++k)</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>                            {</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>                                ss += u_(i, k) * v_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>);</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>                            }</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span> </div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>                            <span class="keywordflow">for</span> (k = l; k &lt; n_; ++k)</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span>                            {</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>                                v_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) += ss * v_(k, i);</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>                            }</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>                        }</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span>                    }</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span> </div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span>                    <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span>                    {</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span>                        v_(i, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, i) = 0.;</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>                    }</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>                }</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span> </div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span>                v_(i, i) = 1.;</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span>                g        = rv1[i];</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno">  328</span>                l        = i;</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span>            }</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span> </div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span>            <span class="keywordflow">for</span> (i = <a class="code hl_function" href="namespacenc.html#a10ee4cd59b844c5dd99106a5dee12009">std::min</a>(m_, n_) - 1; i != <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(-1); --i)</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span>            {</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span>                l = i + 1;</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span>                g = s_[i];</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span> </div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span>                <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span>                {</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span>                    u_(i, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = 0.;</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span>                }</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno">  341</span>                <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(g, 0.))</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno">  342</span>                {</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno">  343</span>                    g = 1. / g;</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno">  344</span> </div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span>                    <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span>                    {</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno">  347</span>                        <span class="keywordflow">for</span> (ss = 0., k = l; k &lt; m_; ++k)</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno">  348</span>                        {</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span>                            ss += u_(k, i) * u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>);</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span>                        }</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span> </div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span>                        <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> = (ss / u_(i, i)) * g;</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span> </div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span>                        <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span>                        {</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span>                            u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) += <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> * u_(k, i);</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span>                        }</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span>                    }</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno">  359</span> </div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno">  360</span>                    <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = i; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; m_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno">  361</span>                    {</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno">  362</span>                        u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, i) *= g;</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span>                    }</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span>                }</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno">  365</span>                <span class="keywordflow">else</span></div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno">  366</span>                {</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno">  367</span>                    <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = i; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; m_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno">  368</span>                    {</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno">  369</span>                        u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, i) = 0.;</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span>                    }</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span>                }</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span> </div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span>                ++u_(i, i);</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span>            }</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span> </div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span>            <span class="keywordflow">for</span> (k = n_ - 1; k != <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(-1); --k)</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno">  377</span>            {</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno">  378</span>                <span class="keywordflow">for</span> (its = 0; its &lt; 30; ++its)</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno">  379</span>                {</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span>                    flag = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span>                    <span class="keywordflow">for</span> (l = k; l != <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a><span class="keyword">&gt;</span>(-1); --l)</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span>                    {</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span>                        nm = l - 1;</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span>                        <span class="keywordflow">if</span> (l == 0 || <a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(rv1[l]) &lt;= eps_ * anorm)</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span>                        {</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span>                            flag = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span>                            <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span>                        }</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span> </div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span>                        <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(s_[nm]) &lt;= eps_ * anorm)</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span>                        {</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span>                            <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span>                        }</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span>                    }</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span> </div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>                    <span class="keywordflow">if</span> (flag)</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span>                    {</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span>                        <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>  = 0.;</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span>                        ss = 1.;</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span>                        <span class="keywordflow">for</span> (i = l; i &lt; k + 1; ++i)</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span>                        {</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>                            <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>      = ss * rv1[i];</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span>                            rv1[i] = <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * rv1[i];</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span> </div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span>                            <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>) &lt;= eps_ * anorm)</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>                            {</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span>                                <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span>                            }</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span> </div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span>                            g     = s_[i];</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>                            h     = pythag(<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>, g);</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span>                            s_[i] = h;</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>                            h     = 1. / h;</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span>                            <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>     = g * h;</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span>                            ss    = -<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> * h;</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span> </div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span>                            <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; m_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>                            {</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>                                y         = u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, nm);</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span>                                z         = u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, i);</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>                                u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, nm) = y * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + z * ss;</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span>                                u_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, i)  = z * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - y * ss;</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span>                            }</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span>                        }</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span>                    }</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span> </div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>                    z = s_[k];</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno">  428</span>                    <span class="keywordflow">if</span> (l == k)</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno">  429</span>                    {</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno">  430</span>                        <span class="keywordflow">if</span> (z &lt; 0.)</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno">  431</span>                        {</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno">  432</span>                            s_[k] = -z;</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno">  433</span>                            <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span>                            {</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span>                                v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k) = -v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k);</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span>                            }</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span>                        }</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno">  438</span>                        <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno">  439</span>                    }</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span> </div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span>                    <span class="keywordflow">if</span> (its == 29)</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span>                    {</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span>                        <a class="code hl_define" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;no convergence in 30 svdcmp iterations&quot;</span>);</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno">  444</span>                    }</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno">  445</span> </div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno">  446</span>                    x  = s_[l];</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno">  447</span>                    nm = k - 1;</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno">  448</span>                    y  = s_[nm];</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno">  449</span>                    g  = rv1[nm];</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno">  450</span>                    h  = rv1[k];</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span>                    <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>  = ((y - z) * (y + z) + (g - h) * (g + h)) / (2. * h * y);</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span>                    g  = pythag(<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>, 1.);</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span>                    <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>  = ((x - z) * (x + z) + h * ((y / (<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> + SIGN(g, <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>))) - h)) / x;</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span>                    <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = ss = 1.;</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span> </div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span>                    <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = l; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt;= nm; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>++)</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span>                    {</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno">  458</span>                        i      = <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> + 1;</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno">  459</span>                        g      = rv1[i];</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span>                        y      = s_[i];</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span>                        h      = ss * g;</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span>                        g      = <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * g;</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno">  463</span>                        z      = pythag(<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>, h);</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno">  464</span>                        rv1[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] = z;</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno">  465</span>                        <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>      = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> / z;</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno">  466</span>                        ss     = h / z;</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno">  467</span>                        <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>      = x * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + g * ss;</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno">  468</span>                        g      = g * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - x * ss;</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno">  469</span>                        h      = y * ss;</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno">  470</span>                        y *= <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>;</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno">  471</span> </div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno">  472</span>                        <span class="keywordflow">for</span> (jj = 0; jj &lt; n_; ++jj)</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno">  473</span>                        {</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno">  474</span>                            x         = v_(jj, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>);</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno">  475</span>                            z         = v_(jj, i);</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno">  476</span>                            v_(jj, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = x * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + z * ss;</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno">  477</span>                            v_(jj, i) = z * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - x * ss;</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno">  478</span>                        }</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno">  479</span> </div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno">  480</span>                        z     = pythag(<a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>, h);</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno">  481</span>                        s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] = z;</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno">  482</span> </div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno">  483</span>                        <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(z, 0.))</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno">  484</span>                        {</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno">  485</span>                            z  = 1. / z;</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno">  486</span>                            <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>  = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> * z;</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno">  487</span>                            ss = h * z;</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno">  488</span>                        }</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno">  489</span> </div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno">  490</span>                        <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a> = <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * g + ss * y;</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno">  491</span>                        x = <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * y - ss * g;</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno">  492</span> </div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno">  493</span>                        <span class="keywordflow">for</span> (jj = 0; jj &lt; m_; ++jj)</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno">  494</span>                        {</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno">  495</span>                            y         = u_(jj, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>);</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno">  496</span>                            z         = u_(jj, i);</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno">  497</span>                            u_(jj, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = y * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + z * ss;</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno">  498</span>                            u_(jj, i) = z * <a class="code hl_variable" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - y * ss;</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno">  499</span>                        }</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno">  500</span>                    }</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno">  501</span>                    rv1[l] = 0.;</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno">  502</span>                    rv1[k] = <a class="code hl_function" href="namespacenc_1_1random_1_1detail.html#af5bfd54c6d5d0ad7e16e6e532b0dfb2e">f</a>;</div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno">  503</span>                    s_[k]  = x;</div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno">  504</span>                }</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno">  505</span>            }</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno">  506</span>        }</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno">  507</span> </div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno">  508</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno">  509</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno">  512</span><span class="comment"></span>        <span class="keywordtype">void</span> reorder()</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno">  513</span>        {</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno">  514</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i   = 0;</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno">  515</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>   = 0;</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno">  516</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> k   = 0;</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno">  517</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> ss  = 0;</div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno">  518</span>            <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> inc = 1;</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno">  519</span> </div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno">  520</span>            <span class="keywordtype">double</span>          sw{};</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno">  521</span>            NdArray&lt;double&gt; su(m_, 1);</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno">  522</span>            NdArray&lt;double&gt; sv(n_, 1);</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno">  523</span> </div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno">  524</span>            <span class="keywordflow">do</span></div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno">  525</span>            {</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno">  526</span>                inc *= 3;</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno">  527</span>                ++inc;</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno">  528</span>            } <span class="keywordflow">while</span> (inc &lt;= n_);</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno">  529</span> </div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno">  530</span>            <span class="keywordflow">do</span></div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno">  531</span>            {</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno">  532</span>                inc /= 3;</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno">  533</span>                <span class="keywordflow">for</span> (i = inc; i &lt; n_; ++i)</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno">  534</span>                {</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno">  535</span>                    sw = s_[i];</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno">  536</span>                    <span class="keywordflow">for</span> (k = 0; k &lt; m_; ++k)</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno">  537</span>                    {</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno">  538</span>                        su[k] = u_(k, i);</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno">  539</span>                    }</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno">  540</span> </div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno">  541</span>                    <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno">  542</span>                    {</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno">  543</span>                        sv[k] = v_(k, i);</div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno">  544</span>                    }</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno">  545</span> </div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno">  546</span>                    <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = i;</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno">  547</span>                    <span class="keywordflow">while</span> (s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> - inc] &lt; sw)</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno">  548</span>                    {</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno">  549</span>                        s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] = s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> - inc];</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno">  550</span> </div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno">  551</span>                        <span class="keywordflow">for</span> (k = 0; k &lt; m_; ++k)</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno">  552</span>                        {</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno">  553</span>                            u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> - inc);</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno">  554</span>                        }</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno">  555</span> </div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno">  556</span>                        <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno">  557</span>                        {</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno">  558</span>                            v_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = v_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> - inc);</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno">  559</span>                        }</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno">  560</span> </div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno">  561</span>                        <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> -= inc;</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno">  562</span> </div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno">  563</span>                        <span class="keywordflow">if</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; inc)</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno">  564</span>                        {</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno">  565</span>                            <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno">  566</span>                        }</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno">  567</span>                    }</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno">  568</span> </div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno">  569</span>                    s_[<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>] = sw;</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno">  570</span> </div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno">  571</span>                    <span class="keywordflow">for</span> (k = 0; k &lt; m_; ++k)</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno">  572</span>                    {</div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno">  573</span>                        u_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = su[k];</div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno">  574</span>                    }</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno">  575</span> </div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno">  576</span>                    <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno">  577</span>                    {</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno">  578</span>                        v_(k, <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = sv[k];</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno">  579</span>                    }</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno">  580</span>                }</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno">  581</span>            } <span class="keywordflow">while</span> (inc &gt; 1);</div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno">  582</span> </div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno">  583</span>            <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno">  584</span>            {</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno">  585</span>                ss = 0;</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno">  586</span> </div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno">  587</span>                <span class="keywordflow">for</span> (i = 0; i &lt; m_; i++)</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno">  588</span>                {</div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno">  589</span>                    <span class="keywordflow">if</span> (u_(i, k) &lt; 0.)</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno">  590</span>                    {</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno">  591</span>                        ss++;</div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno">  592</span>                    }</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno">  593</span>                }</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno">  594</span> </div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno">  595</span>                <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno">  596</span>                {</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno">  597</span>                    <span class="keywordflow">if</span> (v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k) &lt; 0.)</div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno">  598</span>                    {</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno">  599</span>                        ss++;</div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno">  600</span>                    }</div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno">  601</span>                }</div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno">  602</span> </div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno">  603</span>                <span class="keywordflow">if</span> (ss &gt; (m_ + n_) / 2)</div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno">  604</span>                {</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno">  605</span>                    <span class="keywordflow">for</span> (i = 0; i &lt; m_; ++i)</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno">  606</span>                    {</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno">  607</span>                        u_(i, k) = -u_(i, k);</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno">  608</span>                    }</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno">  609</span> </div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno">  610</span>                    <span class="keywordflow">for</span> (<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; n_; ++<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno">  611</span>                    {</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno">  612</span>                        v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k) = -v_(<a class="code hl_variable" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>, k);</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno">  613</span>                    }</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno">  614</span>                }</div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno">  615</span>            }</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno">  616</span>        }</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno">  617</span> </div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno">  618</span>        <span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno">  619</span>        <span class="comment">// Description:</span></div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno">  627</span><span class="comment"></span>        <span class="keyword">static</span> <span class="keywordtype">double</span> pythag(<span class="keywordtype">double</span> inA, <span class="keywordtype">double</span> inB) <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno">  628</span>        {</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno">  629</span>            <span class="keyword">const</span> <span class="keywordtype">double</span> absa = <a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(inA);</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno">  630</span>            <span class="keyword">const</span> <span class="keywordtype">double</span> absb = <a class="code hl_function" href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">std::abs</a>(inB);</div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno">  631</span>            <span class="keywordflow">return</span> (absa &gt; absb</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno">  632</span>                        ? absa * <a class="code hl_function" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(1. + <a class="code hl_function" href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">utils::sqr</a>(absb / absa))</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno">  633</span>                        : (<a class="code hl_function" href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">utils::essentiallyEqual</a>(absb, 0.) ? 0. : absb * <a class="code hl_function" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(1. + <a class="code hl_function" href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">utils::sqr</a>(absa / absb))));</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno">  634</span>        }</div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno">  635</span> </div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno">  636</span>    <span class="keyword">private</span>:</div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno">  637</span>        <span class="comment">// ===============================Attributes====================================</span></div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno">  638</span>        <span class="keyword">const</span> <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a>    m_{};</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno">  639</span>        <span class="keyword">const</span> <a class="code hl_typedef" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a>    n_{};</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno">  640</span>        NdArray&lt;double&gt; u_{};</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno">  641</span>        NdArray&lt;double&gt; v_{};</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno">  642</span>        NdArray&lt;double&gt; s_{};</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno">  643</span>        <span class="keywordtype">double</span>          eps_{};</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno">  644</span>        <span class="keywordtype">double</span>          tsh_{};</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno">  645</span>    };</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno">  646</span>} <span class="comment">// namespace nc::linalg</span></div>
<div class="ttc" id="a_error_8hpp_html"><div class="ttname"><a href="_error_8hpp.html">Error.hpp</a></div></div>
<div class="ttc" id="a_error_8hpp_html_af2aff1172060367b9c5398fa097fa8fd"><div class="ttname"><a href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a></div><div class="ttdeci">#define THROW_INVALID_ARGUMENT_ERROR(msg)</div><div class="ttdef"><b>Definition:</b> Error.hpp:37</div></div>
<div class="ttc" id="a_nd_array_8hpp_html"><div class="ttname"><a href="_nd_array_8hpp.html">NdArray.hpp</a></div></div>
<div class="ttc" id="a_types_8hpp_html"><div class="ttname"><a href="_types_8hpp.html">Types.hpp</a></div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html"><div class="ttname"><a href="classnc_1_1_nd_array.html">nc::NdArray&lt; double &gt;</a></div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a055875abbe80163ca91328c0fa8ffbfa"><div class="ttname"><a href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">nc::NdArray::size</a></div><div class="ttdeci">size_type size() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4524</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a7c17d60541d81f71107c5dc0a06885ac"><div class="ttname"><a href="classnc_1_1_nd_array.html#a7c17d60541d81f71107c5dc0a06885ac">nc::NdArray::front</a></div><div class="ttdeci">const_reference front() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:2860</div></div>
<div class="ttc" id="aclassnc_1_1linalg_1_1_s_v_d_html"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html">nc::linalg::SVD</a></div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:47</div></div>
<div class="ttc" id="aclassnc_1_1linalg_1_1_s_v_d_html_a5f8126b97109ff2929842d861522de19"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html#a5f8126b97109ff2929842d861522de19">nc::linalg::SVD::solve</a></div><div class="ttdeci">NdArray&lt; double &gt; solve(const NdArray&lt; double &gt; &amp;inInput, double inThresh=-1.)</div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:110</div></div>
<div class="ttc" id="aclassnc_1_1linalg_1_1_s_v_d_html_aa3628ab32a1117f00645ce377c4b8654"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html#aa3628ab32a1117f00645ce377c4b8654">nc::linalg::SVD::s</a></div><div class="ttdeci">const NdArray&lt; double &gt; &amp; s() noexcept</div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:96</div></div>
<div class="ttc" id="aclassnc_1_1linalg_1_1_s_v_d_html_ab0ff491e89a4242d15854683d0a45650"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html#ab0ff491e89a4242d15854683d0a45650">nc::linalg::SVD::v</a></div><div class="ttdeci">const NdArray&lt; double &gt; &amp; v() noexcept</div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:85</div></div>
<div class="ttc" id="aclassnc_1_1linalg_1_1_s_v_d_html_ae0561bbc9633e436139258b0c70b98ba"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html#ae0561bbc9633e436139258b0c70b98ba">nc::linalg::SVD::SVD</a></div><div class="ttdeci">SVD(const NdArray&lt; double &gt; &amp;inMatrix)</div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:55</div></div>
<div class="ttc" id="aclassnc_1_1linalg_1_1_s_v_d_html_af28a679bf8a8ef8af95184a26a6fbb4e"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html#af28a679bf8a8ef8af95184a26a6fbb4e">nc::linalg::SVD::u</a></div><div class="ttdeci">const NdArray&lt; double &gt; &amp; u() noexcept</div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:74</div></div>
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<div class="ttc" id="anamespacenc_1_1constants_html_ac3fc62713ed109e451648c67faab7581"><div class="ttname"><a href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">nc::constants::c</a></div><div class="ttdeci">constexpr double c</div><div class="ttdoc">speed of light</div><div class="ttdef"><b>Definition:</b> Core/Constants.hpp:36</div></div>
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<div class="ttc" id="anamespacenc_1_1utils_html_a963b90e7c9a3b057a924298750ddf74c"><div class="ttname"><a href="namespacenc_1_1utils.html#a963b90e7c9a3b057a924298750ddf74c">nc::utils::essentiallyEqual</a></div><div class="ttdeci">bool essentiallyEqual(dtype inValue1, dtype inValue2) noexcept</div><div class="ttdef"><b>Definition:</b> essentiallyEqual.hpp:49</div></div>
<div class="ttc" id="anamespacenc_1_1utils_html_ae792e10a24b7e5b8291a6c31a28a4512"><div class="ttname"><a href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">nc::utils::sqr</a></div><div class="ttdeci">constexpr dtype sqr(dtype inValue) noexcept</div><div class="ttdef"><b>Definition:</b> sqr.hpp:42</div></div>
<div class="ttc" id="anamespacenc_html_a10ee4cd59b844c5dd99106a5dee12009"><div class="ttname"><a href="namespacenc.html#a10ee4cd59b844c5dd99106a5dee12009">nc::min</a></div><div class="ttdeci">NdArray&lt; dtype &gt; min(const NdArray&lt; dtype &gt; &amp;inArray, Axis inAxis=Axis::NONE)</div><div class="ttdef"><b>Definition:</b> min.hpp:44</div></div>
<div class="ttc" id="anamespacenc_html_a6c2c40c4efcd5018f84f9aca0c03c29d"><div class="ttname"><a href="namespacenc.html#a6c2c40c4efcd5018f84f9aca0c03c29d">nc::abs</a></div><div class="ttdeci">auto abs(dtype inValue) noexcept</div><div class="ttdef"><b>Definition:</b> abs.hpp:49</div></div>
<div class="ttc" id="anamespacenc_html_a941a5a1ffb61387495a6f23dc4036287"><div class="ttname"><a href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">nc::sqrt</a></div><div class="ttdeci">auto sqrt(dtype inValue) noexcept</div><div class="ttdef"><b>Definition:</b> sqrt.hpp:48</div></div>
<div class="ttc" id="anamespacenc_html_ae2b224742bc8263190d451a44ebe5e34"><div class="ttname"><a href="namespacenc.html#ae2b224742bc8263190d451a44ebe5e34">nc::shape</a></div><div class="ttdeci">Shape shape(const NdArray&lt; dtype &gt; &amp;inArray) noexcept</div><div class="ttdef"><b>Definition:</b> Functions/Shape.hpp:42</div></div>
<div class="ttc" id="anamespacenc_html_af0f49663fb63332596e2e6327009d581"><div class="ttname"><a href="namespacenc.html#af0f49663fb63332596e2e6327009d581">nc::uint32</a></div><div class="ttdeci">std::uint32_t uint32</div><div class="ttdef"><b>Definition:</b> Types.hpp:40</div></div>
<div class="ttc" id="anamespacenc_html_af37a6766f3bd9a7f83d32834d2a699b1"><div class="ttname"><a href="namespacenc.html#af37a6766f3bd9a7f83d32834d2a699b1">nc::max</a></div><div class="ttdeci">NdArray&lt; dtype &gt; max(const NdArray&lt; dtype &gt; &amp;inArray, Axis inAxis=Axis::NONE)</div><div class="ttdef"><b>Definition:</b> max.hpp:44</div></div>
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